2013/03/31 by Magdaleen S. Marais, Andreas Steenpass · 1 citation
Mathematics · #math.AG #math.AC #msc:14Qxx #msc:14Pxx
paper · pdf · doi:10.1016/j.jsc.2014.08.007
published as J. Symb. Comput. 68 (2015), 61-71 · 12 pages, 1 table
arxiv created 2015/02/13 · arxiv updated 2016/01/15
We present algorithms to classify isolated hypersurface singularities over the real numbers according to the classification by V.I. Arnold (Arnold et al., 1985). This first part covers the splitting lemma and the simple singularities; a second and a third part will be devoted to the unimodal singularities up to corank 2. All algorithms are implemented in the SINGULAR library realclassify.lib (Marais and Steenpass, 2012).